The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: VNH0040
# Created Wed Jun 4 01:12:16 2025
# Orbit generated from Bernstein formalism
# Fitting 3 observations of 3
# Arc: 1.08d
# First observation: 2011/07/23
# Last observation: 2011/07/24
# WARNING Fitting with energy constraint
# WARNING and with gdot fixed = 0
# Chi-squared of fit: 0.10 DOF: 2 RMS: 0.03
# Min/Max residuals: -0.06 0.05
# Exact a, adot, b, bdot, g, gdot:
1.437445E-05 2.004133E-02 -2.000993E-07 -1.845018E-04 2.165592E-02 0.000000E+00
# Covariance matrix:
2.9750E-11 3.9460E-08 7.3936E-13 1.0096E-09 7.0688E-09 0.0000E+00
3.9460E-08 5.3751E-05 1.0001E-09 1.3656E-06 9.5616E-06 0.0000E+00
7.3936E-13 1.0001E-09 5.3500E-13 -5.8621E-11 1.7878E-10 0.0000E+00
1.0096E-09 1.3656E-06 -5.8621E-11 3.0138E-07 2.4411E-07 0.0000E+00
7.0688E-09 9.5616E-06 1.7878E-10 2.4411E-07 1.7093E-06 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.3364E-04
# lat0 lon0 xBary yBary zBary JD0
3.187221 -83.930242 -0.403129 0.051740 -0.929599 2455765.514086
# Heliocentric elements and errors
Epoch: 2455760.5000 = 2011/07/18
Mean Anomaly: 16.97065 +/- 75.982
Argument of Peri: 82.19609 +/- 140.610
Long of Asc Node: 176.63859 +/- 29.295
Inclination: 3.17155 +/- 0.285
Eccentricity: 0.02128924 +/- 0.5646
Semi-Major Axis: 48.08517447 +/- 24.8431
Time of Perihelion: 2450019.1873 +/- 512850.2
Perihelion: 47.06147745 +/- 36.4440
Aphelion: 49.10887148 +/- 37.1581
Period (y) 333.4456 +/- 258.41
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 5.37893227 +/- 0.2941
Ecliptic Y -46.72947765 +/- 2.7678
Ecliptic Z 2.56737725 +/- 0.1550
Ecliptic XDOT 0.00251686 +/- 0.0008
Ecliptic YDOT 0.00027223 +/- 0.0015
Ecliptic ZDOT -0.00002324 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 47.10805048 +/- 2.7458
Geocenter to KBO 46.17674962 +/- 2.7877
# Hcoef: 11.71
The following table shows the complete astrometric record for VNH0040. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (VNH0040) followed by the observatory code and reference code for the source of the astrometry.
2011 07 23.01332 18 25 49.361 -20 06 58.15 28.6R VNH0040 304 2011 07 23.07829 18 25 49.083 -20 06 58.48 28.1R VNH0040 304 2011 07 24.09469 18 25 44.944 -20 07 02.95 27.6R VNH0040 304
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.05 0.00 0.01
2 0.0002 -3.93 -0.06 -0.15 -0.01
3 0.0030 -62.37 0.00 -2.01 0.00
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
VNH0040 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0